Question

4- Which one of the series is convergent a) $\sum_{n=1}^{\infty} \left(\frac{n}{n+1}\right)$ b) $\sum_{n=1}^{\infty} \left(\frac{n+1}{n}\right)^n$ c) $\sum_{n=1}^{\infty} \left(\frac{\sin n^2}{1+n^2}\right)$ d) $\sum_{n=1}^{\infty} \left(\frac{1}{n+1}\right)$ e) $\sum_{n=1}^{\infty} \left(\frac{\ln n}{n}\right)$

          4- Which one of the series is convergent
a) $\sum_{n=1}^{\infty} \left(\frac{n}{n+1}\right)$
b) $\sum_{n=1}^{\infty} \left(\frac{n+1}{n}\right)^n$
c) $\sum_{n=1}^{\infty} \left(\frac{\sin n^2}{1+n^2}\right)$
d) $\sum_{n=1}^{\infty} \left(\frac{1}{n+1}\right)$
e) $\sum_{n=1}^{\infty} \left(\frac{\ln n}{n}\right)$

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4- Which one of the series is convergent
a) ∑n=1^∞((n)/(n+1))
b) ∑n=1^∞((n+1)/(n))^n
c) ∑n=1^∞((sin n^2)/(1+n^2))
d) ∑n=1^∞((1)/(n+1))
e) ∑n=1^∞((ln n)/(n))

Added by Andr-S P.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Madhur L

04/26/2023

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A series is said to be convergent if the sequence of partial sums converges to a finite value. Show more…

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4-Which one of the series is convergent a -11 b sin n =1n+ e

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